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Finding the Fourth Proportional to 496.35, 685.01 and 275.37

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Solution

The fourth proportional to 496.35, 685.01 and 275.37 is: 380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.35 : 685.01 = 275.37 : x
  2. Step 2: Convert to fraction form
    496.35/685.01 = 275.37/x
  3. Step 3: Cross multiply
    496.35x = 685.01 × 275.37
  4. Step 4: Simplify right side
    496.35x = 188,629.83
  5. Step 5: Solve for x
    x = 188,629.83/496.35
  6. Step 6: Final answer
    x = 380.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.